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Finding the Fourth Proportional to 8,187.84, 11,286 and 5,534.28

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Solution

The fourth proportional to 8,187.84, 11,286 and 5,534.28 is: 7,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.84 : 11,286 = 5,534.28 : x
  2. Step 2: Convert to fraction form
    8,187.84/11,286 = 5,534.28/x
  3. Step 3: Cross multiply
    8,187.84x = 11,286 × 5,534.28
  4. Step 4: Simplify right side
    8,187.84x = 62,459,884.08
  5. Step 5: Solve for x
    x = 62,459,884.08/8,187.84
  6. Step 6: Final answer
    x = 7,628.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.